Hostname: page-component-84b7d79bbc-l82ql Total loading time: 0 Render date: 2024-07-31T16:59:31.174Z Has data issue: false hasContentIssue false
  • English
  • Français

Designing composite microstructures with targeted properties

Published online by Cambridge University Press:  31 January 2011

S. Hyun  and
S. Torquato
S. Hyun
Affiliation:
Princeton Materials Institute and Department of Chemistry, Princeton University, Princeton, New Jersey 08544
S. Torquato*
Affiliation:
Princeton Materials Institute and Department of Chemistry, Princeton University, Princeton, New Jersey 08544
*
a)Address all correspondence to this author. torquato@princeton.edu
Get access

Abstract

We present a numerical method to find specific composite microstructures with targeted effective properties. The effective properties that may be prescribed are quite diverse and include transport, mechanical, and electromagnetic properties, as well as properties associated with coupled phenomena, such as piezoelectric and thermoelectric coefficients. We formulated the target problem as an optimization problem. To illustrate our general target optimization technique, we have successfully found two-phase composite microstructures having specified effective electrical or thermal conductivities at fixed volume fractions. The method can also be used to design microstructures with multifunctional characteristics.

Type
Articles
Information
Journal of Materials Research , Volume 16 , Issue 1 , January 2001 , pp. 280 - 285
Copyright
Copyright © Materials Research Society 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Bendsoe, M.P., Methods for the Optimization of Structural Topology (Springer-Verlag, Berlin, 1995).Google Scholar
2.Sigmund, O. and Torquato, S., J. Mech. Phys. Solids 45, 1037 (1997).CrossRefGoogle Scholar
3.Karmarkar, N., Combinatoria 4, 373 (1984).CrossRefGoogle Scholar
4.Hashin, Z. and Shtrikman, S., J. Appl. Phys. 33, 3125 (1962).CrossRefGoogle Scholar
5.Hashin, Z., J. Mech. Phys. Solids 13, 119 (1965).CrossRefGoogle Scholar
6.Dykhne, A.M., Soviet Phys. JETP 32, 63 (1971).Google Scholar
7.Vigdergauz, S.B., Mech. Solids 24, 57 (1989).Google Scholar
8.Vigdergauz, S.B., J. Appl. Mech. 3, 390 (1994).CrossRefGoogle Scholar